Your SSD + HDD combination sounds suspiciously like something that used to be a 1 TB Fusion Drive – but got split (intentionally or otherwise). That SSD was never meant to be the whole startup drive (and even as part of a Fusion Drive, it's skimpy – 1 TB Fusion Drives originally included 128 GB SSDs!).
If you have a spare USB 3.0 hard drive or SSD, you could try
- Formatting it in Disk Utility, as a Mac OS Extended (Journaled, Non-Case-Sensitive) volume.
- Cloning your internal startup drive onto it, with the aid of a version of Carbon Copy Cloner or SuperDuper! that is old enough to be compatible with El Capitan.
- Selecting the external disk as your startup disk (in System Preferences > Startup Disk, or by holding Option while booting to bring up the Startup Manager), and starting up from it.
- Upgrading the external drive (which should have a lot more room than the internal SSD does) to Monterey.
Once the upgrade is complete, you could think about using a Monterey-compatible version of Carbon Copy Cloner or SuperDuper! to clone the external startup volume back to the internal SSD.
But if you install Monterey on an external USB 3.0 SSD, you might just decide that you'd rather keep that external drive as your main startup drive. It won't be as fast as the internal SSD would be, IF you could keep a reasonable amount of free space on that SSD.